Andrea Bianchi

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20242026

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5 papers · 1 filter

math.AT2026

Stable homology of complex braid groups

Andrea Bianchi, Filippo Callegaro, Luigi Caputi +1

We compute the stable homology of complex braid groups of types $B (e, e, n)$ and $B (2 e, e, n)$ for fixed $e \geq 2$ and increasing $n$ . This accounts for the stable homology of all infini…

math.AT2025

Partially multiplicative quandles and simplicial Hurwitz spaces

Andrea Bianchi

We introduce partially multiplicative quandles (PMQ), a generalisation of both partial monoids and quandles. We set up the basic theory of PMQs, focusing on the properties of free…

math.AT2024

Polynomial stability of the homology of Hurwitz spaces

Andrea Bianchi, Jeremy Miller

For a finite group $G$ and a conjugation-invariant subset $Q \subseteq G$ , we consider the Hurwitz space $Hur_{n} (Q)$ parametrising branched covers of the plane with $n$ bran…

math.AT2024

Homology of configuration spaces of surfaces modulo an odd prime

Andrea Bianchi, Andreas Stavrou

For a compact orientable surface $I^£_{g, 1}$ of genus $g$ with one boundary component and for an odd prime number $p$ , we study the homology of the unordered configuration spaces $C…

math.AT2024

Deloopings of Hurwitz spaces

Andrea Bianchi

For a partially multiplicative quandle (PMQ) $Q$ we consider the topological monoid $HM ˚ (Q)$ of Hurwitz spaces of configurations in the plane…